WAEC Mathematics Past Questions & Answers - Page 96

476.

In the diagram, PQRST is a regular polygon with sides QR and TS produced to meet at V. Find the size of < RVS

A.

36o

B.

54o

C.

60o

D.

72o

Correct answer is A

PQRST is a regular polygon with 5 sides-pentagon n = 5, Each exterior angle = \(\frac{360^o}{n}\)

= \(\frac{350}{5}\) = 70o

Each interior angle = 180 - 72o

(< s on str. line) = 180o

Since the pentagon is regular, the exterior angles are equal < R = 72o and < S = 72o

< RVS = 180o - (< R + < S)

= 180o - (72o + 72o)

= 180o - 144o

= 36o

477.

The pie chart shows the distribution of 600 mathematics textbooks for Arts, Business, Science and Technical Classes. What percentage of the total number of textbooks belongs to science?

A.

12\(\frac{1}{2}\)%

B.

\(\frac{205}{6}\)%

C.

25%

D.

\(\frac{412}{3}\)%

Correct answer is A

\(\frac{45^o}{360}\) x 100%

= 12\(\frac{1}{2}\)%

478.

The pie chart shows the distribution of 600 mathematics textbooks for Arts, Business, Science and Technical Classes. How many textbooks are for the technical class?

A.

100

B.

150

C.

200

D.

250

Correct answer is D

Arts = 90o business = 75o, science = 45o

Technical 360o - (90o - 75o + 45o) = 360o - 210o

Technical = 150o

textbooks for technical class = \(\frac{150^o}{360^o}\) x 600

= 250

479.

Using the histogram, what is the median class?

A.

60.5 - 70.5

B.

50.5 - 60.5

C.

40.5 - 50.5

D.

30.5 - 40.5

Correct answer is C

No explanation has been provided for this answer.

480.

Using the histogram, estimate the mode of distribution

A.

51.5

B.

52.5

C.

53.5

D.

54.5

Correct answer is C

No explanation has been provided for this answer.